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Finding the Third Proportional to 173,728 and 377,344

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Solution

The third proportional to 173,728 and 377,344 is: 819,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,728 : 377,344 = 377,344 : x
  2. Step 2: Convert to fraction form
    173,728/377,344 = 377,344/x
  3. Step 3: Cross multiply
    173,728x = 377,344 × 377,344
  4. Step 4: Simplify right side
    173,728x = 142,388,494,336
  5. Step 5: Solve for x
    x = 142,388,494,336/173,728
  6. Step 6: Final answer
    x = 819,605.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.